A sequence {p) is said to be superlinearly convergentto p if .. \Pn+\ - P\ hm = 0. "^0

Chapter 2, Problem 14

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A sequence {p) is said to be superlinearly convergentto p if .. \Pn+\ - P\ hm = 0. "^0 Ipn - pi a. Show thatif p > p of order a for a > 1, then {p) is superlinearly convergent to p. b. Show that p,, is superlinearly convergent to 0 but does not converge to 0 of ordera for any a > 1.

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